243/MR00. problem / Math - Solved Math Problems

MR-243 / 1176. problem

Simplify the following expression:

$t g^{2} x - s i n^{2} x = t g^{2} x \cdot s i n^{2} x$

t g^{2} x - s i n^{2} x

t g^{2} x - s i n^{2} x

= \frac{s i n^{2} x}{c o s^{2} x} - s i n^{2} x

= \frac{s i n^{2} x - c o s^{2} x \cdot s i n^{2} x}{c o s^{2} x}

= \frac{s i n^{2} x (1 - c o s^{2} x)}{c o s^{2} x}

= \frac{s i n^{2} x \cdot s i n^{2} x}{c o s^{2} x}

= t g^{2} x \cdot s i n^{2} x

$t g^{2} x - s i n^{2} x = t g^{2} x \cdot s i n^{2} x$

MathReference - Problems